Department of Mathematics


  •  Lisa Piccirillo, Massachusetts Institute of Technology
  •  Exotic phenomena in 4-dimensional topology
  •  10/06/2022
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall
  •  Brent Nelson (

In favorable circumstances, topological 4-manifolds and surfaces in them can be classified. In contrast, little is known about smooth 4-manifolds and smooth surfaces. Several of the hardest problems in 4-dimensional topology (eg. the Poincare conjecture) simply ask whether the topological classification fails in the smooth setting; such failures are called exotica. In this talk, I will discuss some historic and recent progress towards detecting exotic phenomena, and outline some promising approaches.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
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